Lyapunov exponents of probability distributions with non-compact support
Dynamical Systems
2020-10-13 v2
Abstract
We prove that the Lyapunov exponents, cosidered as functions of measures with non compact support, are semicontinuous with respect to the Wasserstein topology but not with respect to the weak* topology. Moreover, we prove that they are not continuous in the Wasserstein topology.
Keywords
Cite
@article{arxiv.1810.03061,
title = {Lyapunov exponents of probability distributions with non-compact support},
author = {Adriana Sánchez and Marcelo Viana},
journal= {arXiv preprint arXiv:1810.03061},
year = {2020}
}
Comments
We added some corrections and a new conjecture